The Periodicity of the Accuracy of Numerical Integration Methods for the Solution of Different Engineering Problems

  • Chowdhury T
  • Islam T
  • Mujahid A
  • et al.
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Abstract

Newton-Cotes integration formulae have been researched for a long time, but the topic is still of interest since the correctness of the techniques has not yet been explicitly defined in a sequence for diverse engineering situations. The purpose of this paper is to give the readers an overview of the four numerical integration methods derived from Newton-Cotes formula, namely the Trapezoidal rule, Simpson's 1/3rd rule, Simpson's 3/8th rule, and Weddle's rule, as well as to demonstrate the periodicity of the most accurate methods for solving each engineering integral equation by varying the number of sub-divisions. The exact expressions by solving the numerical integral equations have been determined by Maple program and comparisons have been done using Python version 3.8.

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APA

Chowdhury, T. A., Islam, T., Mujahid, A. A., & Ahmed, Md. B. (2021). The Periodicity of the Accuracy of Numerical Integration Methods for the Solution of Different Engineering Problems. Journal of Engineering Advancements. https://doi.org/10.38032/jea.2021.04.006

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